PIRSA:18120012

No-free-information principle in general probabilistic theories

APA

Plavala, M. (2018). No-free-information principle in general probabilistic theories . Perimeter Institute. https://pirsa.org/18120012

MLA

Plavala, Martin. No-free-information principle in general probabilistic theories . Perimeter Institute, Dec. 04, 2018, https://pirsa.org/18120012

BibTex

          @misc{ pirsa_18120012,
            doi = {10.48660/18120012},
            url = {https://pirsa.org/18120012},
            author = {Plavala, Martin},
            keywords = {Quantum Foundations},
            language = {en},
            title = {No-free-information principle in general probabilistic theories },
            publisher = {Perimeter Institute},
            year = {2018},
            month = {dec},
            note = {PIRSA:18120012 see, \url{https://pirsa.org}}
          }
          

Martin Plavala Slovak Academy of Sciences - Mathematical Institute

Abstract

In quantum theory, the no-information-without-disturbance and no-free-information principles express that those observables that do not disturb the measurement of another observable and those that can be measured jointly with any other observable must be trivial, i.e., coin tossing observables. We show that in the framework of general probabilistic theories these principles do not hold in general. In this way, we obtain characterizations of the probabilistic theories where these principles hold and we show that the two principles are not equivalent.